本研究的主要目的為建立有關導數為有界且為準凸函數（quasi-convex function）的 Hermite-Hadamard 不等式之推廣，以及估計一般化的中點公式誤差的界限。所得到的研究結果可應用於藉由中點公式去估計積分之近似誤差。

The main purpose of this paper is to establish some inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex , and some error estimates for the generalized midpoint formula . The obtained results can be used to give estimates for the approximation error of the integral   by the use of the midpoint formula .

中文摘要	i
英文摘要	ii
目 次	iii
一、 前言	1
二、 主要的結果	5
三、 中點公式之應用	19
參考文獻	25
附錄
1.  Introduction	27
2.  Main results	31
3.   Applications to the midpoint formula   	46
References	52

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